The Lyapunov stability analysis on restraint loops of a two-degree-of-freedom gyro

Tan Zhenfan Wang, Bei Xiaoxu
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Abstract

The stability of the restraint loops of a two degree-of-freedom (DOF) gyro has been analyzed by means of the Lyapunov direct method. The state-space model is derived from the technical functions of a 2-DOF gyro, which is a fourth-order system and time varying during the starting process. From the variable gradient method, the Lyapunov function is found, and whereby the stability conditions of the system are obtained. Since the starting process of a gyro is much longer than the time constant of the restraint loops for time-varying systems, it can be stabilized as long as the stability conditions are changed along with the time varying parameters.
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二自由度陀螺约束环的Lyapunov稳定性分析
用李亚普诺夫直接法分析了二自由度陀螺约束环的稳定性。基于四阶时变系统的2自由度陀螺的技术函数,建立了陀螺的状态空间模型。利用变梯度法求出了系统的Lyapunov函数,并由此得到了系统的稳定性条件。对于时变系统,由于陀螺的启动过程比约束回路的时间常数长得多,所以只要稳定条件随时变参数的变化而变化,陀螺就可以稳定。
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来源期刊
哈尔滨工程大学学报
哈尔滨工程大学学报 Energy-Nuclear Energy and Engineering
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0.90
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6802
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